Edit Profile (opens in new tab) Gianni, Patrizia M. Co-Author Distance Author ID: gianni.patrizia-m Published as: Gianni, Patrizia; Gianni, P.; Gianni, Patrizia M. more...less Documents Indexed: 30 Publications since 1978 1 Contribution as Editor Co-Authors: 19 Co-Authors with 27 Joint Publications 564 Co-Co-Authors all top 5 Co-Authors 4 single-authored 14 Trager, Barry M. 13 Fortuna, Elisabetta 5 Traverso, Carlo 4 Parenti, Paola 2 Corless, Robert Malcolm 2 Luminati, Domenico 2 Mora, Teo 1 Adkins, William A. 1 Cellini, Paola 1 Davenport, James Harold 1 De Concini, Corrado 1 Degano, Pierpaolo 1 Faugère, Jean-Charles 1 Lazard, Daniel 1 Seppälä, Mika 1 Silhol, Robert 1 Tognoli, Alberto 1 Watt, Stephen Michael 1 Zacharias, Gail all top 5 Serials 10 Journal of Symbolic Computation 2 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 2 Applicable Algebra in Engineering, Communication and Computing 1 Journal of Pure and Applied Algebra 1 SIGSAM Bulletin 1 RAIRO. Informatique Théorique et Applications 1 Bollettino della Unione Matematica Italiana. Series V. A 1 Bollettino della Unione Matematica Italiana. Series V. B 1 Lecture Notes in Computer Science all top 5 Fields 15 Commutative algebra (13-XX) 15 Algebraic geometry (14-XX) 14 Computer science (68-XX) 4 Field theory and polynomials (12-XX) 3 Mathematical logic and foundations (03-XX) 3 Numerical analysis (65-XX) 2 Number theory (11-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 1 General and overarching topics; collections (00-XX) 1 General algebraic systems (08-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 600 times in 526 Documents Cited by ▼ Year ▼ Efficient computation of zero-dimensional Gröbner bases by change of ordering. Zbl 0805.13007 Faugère, J. C.; Gianni, P.; Lazard, D.; Mora, T. 196 1993 Gröbner bases and primary decomposition of polynomial ideals. Zbl 0667.13008 Gianni, Patrizia; Trager, Barry; Zacharias, Gail 176 1988 The singular value decomposition for polynomial systems. Zbl 0920.65034 Corless, Robert M.; Gianni, Patrizia M.; Trager, Barry M.; Watt, Stephen M. 61 1995 A reordered Schur factorization method for zero-dimensional polynomial systems with multiple roots. Zbl 0917.65048 Corless, Robert M.; Gianni, Patrizia M.; Trager, Barry M. 31 1997 Properties of Gröbner bases under specializations. Zbl 1209.13033 Gianni, Patrizia 22 1989 Algebraic solution of systems of polynomial equations using Gröbner bases. Zbl 0692.13012 Gianni, Patrizia; Mora, Teo 19 1989 Shape determination for real curves and surfaces. Zbl 0557.14011 Gianni, Patrizia; Traverso, Carlo 13 1983 Riemann surfaces, plane algebraic curves and their period matrices. Zbl 0964.14047 Gianni, Patrizia; Seppälä, Mika; Silhol, Robert; Trager, Barry 10 1998 Algorithms for the shape of semialgebraic sets. A new approach. Zbl 0779.14022 Cellini, Paola; Gianni, Patrizia; Traverso, Carlo 9 1991 Square-free algorithms in positive characteristic. Zbl 0874.12009 Gianni, P.; Trager, B. 9 1996 Algorithms to compute the topology of orientable real algebraic surfaces. Zbl 1049.14046 Fortuna, E.; Gianni, P.; Parenti, P.; Traverso, C. 9 2003 Degree reduction under specialization. Zbl 0998.13014 Fortuna, Elisabetta; Gianni, Patrizia; Trager, Barry 8 2001 Algorithmical determination of the topology of a real algebraic surface. Zbl 1130.14304 Fortuna, E.; Gianni, P.; Luminati, D. 7 2005 Integral closure of Noetherian rings. Zbl 0927.13012 Gianni, P.; Trager, B. 5 1997 Derivations and radicals of polynomial ideals over fields of arbitrary characteristic. Zbl 1059.13014 Fortuna, E.; Gianni, P.; Trager, B. 5 2002 Scratchpad’s view of algebra. II: A categorical view of factorization. Zbl 0921.13011 Davenport, J. H.; Gianni, P.; Trager, B. M. 4 1991 Irreducible decomposition of polynomial ideals. Zbl 1120.13017 Fortuna, E.; Gianni, P.; Trager, B. 3 2005 Some constructions for real algebraic curves. Zbl 1120.14046 Fortuna, E.; Gianni, P.; Parenti, P. 2 2005 Generators of the ideal of an algebraic space curve. Zbl 1169.14024 Fortuna, E.; Gianni, P.; Trager, B. 2 2009 Computing the topology of real algebraic surfaces. Zbl 1072.68666 Fortuna, Elisabetta; Gianni, Patrizia; Parenti, Paola; Traverso, Carlo 2 2002 Morfismi interi delle varieta algebriche. Zbl 0381.14001 Gianni, Patrizia 2 1978 Square-free decomposition in finite characteristic: an application to Jordan form computation. Zbl 1097.13524 Fortuna, Elisabetta; Gianni, Patrizia 1 1999 The adjacency graph of a real algebraic surface. Zbl 1094.14050 Fortuna, E.; Gianni, P.; Luminati, D.; Parenti, P. 1 2005 Computation of new Schubert tables for quadrics and projectivities. Zbl 0596.14042 De Concini, Corrado; Gianni, Patrizia; Traverso, Carlo 1 1985 A Nullstellensatz for an algebraically non-closed field. Zbl 0399.14001 Adkins, W. A.; Gianni, P.; Tognoli, A. 1 1978 Ideals of curves given by points. Zbl 1317.13062 Fortuna, E.; Gianni, P.; Trager, B. 1 2012 Ideals of curves given by points. Zbl 1317.13062 Fortuna, E.; Gianni, P.; Trager, B. 1 2012 Generators of the ideal of an algebraic space curve. Zbl 1169.14024 Fortuna, E.; Gianni, P.; Trager, B. 2 2009 Algorithmical determination of the topology of a real algebraic surface. Zbl 1130.14304 Fortuna, E.; Gianni, P.; Luminati, D. 7 2005 Irreducible decomposition of polynomial ideals. Zbl 1120.13017 Fortuna, E.; Gianni, P.; Trager, B. 3 2005 Some constructions for real algebraic curves. Zbl 1120.14046 Fortuna, E.; Gianni, P.; Parenti, P. 2 2005 The adjacency graph of a real algebraic surface. Zbl 1094.14050 Fortuna, E.; Gianni, P.; Luminati, D.; Parenti, P. 1 2005 Algorithms to compute the topology of orientable real algebraic surfaces. Zbl 1049.14046 Fortuna, E.; Gianni, P.; Parenti, P.; Traverso, C. 9 2003 Derivations and radicals of polynomial ideals over fields of arbitrary characteristic. Zbl 1059.13014 Fortuna, E.; Gianni, P.; Trager, B. 5 2002 Computing the topology of real algebraic surfaces. Zbl 1072.68666 Fortuna, Elisabetta; Gianni, Patrizia; Parenti, Paola; Traverso, Carlo 2 2002 Degree reduction under specialization. Zbl 0998.13014 Fortuna, Elisabetta; Gianni, Patrizia; Trager, Barry 8 2001 Square-free decomposition in finite characteristic: an application to Jordan form computation. Zbl 1097.13524 Fortuna, Elisabetta; Gianni, Patrizia 1 1999 Riemann surfaces, plane algebraic curves and their period matrices. Zbl 0964.14047 Gianni, Patrizia; Seppälä, Mika; Silhol, Robert; Trager, Barry 10 1998 A reordered Schur factorization method for zero-dimensional polynomial systems with multiple roots. Zbl 0917.65048 Corless, Robert M.; Gianni, Patrizia M.; Trager, Barry M. 31 1997 Integral closure of Noetherian rings. Zbl 0927.13012 Gianni, P.; Trager, B. 5 1997 Square-free algorithms in positive characteristic. Zbl 0874.12009 Gianni, P.; Trager, B. 9 1996 The singular value decomposition for polynomial systems. Zbl 0920.65034 Corless, Robert M.; Gianni, Patrizia M.; Trager, Barry M.; Watt, Stephen M. 61 1995 Efficient computation of zero-dimensional Gröbner bases by change of ordering. Zbl 0805.13007 Faugère, J. C.; Gianni, P.; Lazard, D.; Mora, T. 196 1993 Algorithms for the shape of semialgebraic sets. A new approach. Zbl 0779.14022 Cellini, Paola; Gianni, Patrizia; Traverso, Carlo 9 1991 Scratchpad’s view of algebra. II: A categorical view of factorization. Zbl 0921.13011 Davenport, J. H.; Gianni, P.; Trager, B. M. 4 1991 Properties of Gröbner bases under specializations. Zbl 1209.13033 Gianni, Patrizia 22 1989 Algebraic solution of systems of polynomial equations using Gröbner bases. Zbl 0692.13012 Gianni, Patrizia; Mora, Teo 19 1989 Gröbner bases and primary decomposition of polynomial ideals. Zbl 0667.13008 Gianni, Patrizia; Trager, Barry; Zacharias, Gail 176 1988 Computation of new Schubert tables for quadrics and projectivities. Zbl 0596.14042 De Concini, Corrado; Gianni, Patrizia; Traverso, Carlo 1 1985 Shape determination for real curves and surfaces. Zbl 0557.14011 Gianni, Patrizia; Traverso, Carlo 13 1983 Morfismi interi delle varieta algebriche. Zbl 0381.14001 Gianni, Patrizia 2 1978 A Nullstellensatz for an algebraically non-closed field. Zbl 0399.14001 Adkins, W. A.; Gianni, P.; Tognoli, A. 1 1978 all cited Publications top 5 cited Publications all top 5 Cited by 723 Authors 29 Romanovskiĭ, Valeriĭ Georgievich 20 Faugère, Jean-Charles 16 Safey El Din, Mohab 15 Giné, Jaume 12 Mourrain, Bernard 11 Winkler, Joab R. 10 Mora, Teo 9 Schost, Éric 9 Sendra, Juan Rafael 8 Fortuna, Elisabetta 8 Gianni, Patrizia M. 7 Martínez-Moro, Edgar 7 Zhi, Lihong 6 Hashemi, Amir 6 Lecerf, Grégoire 6 Pan, Victor Yakovlevich 6 Sendra, Juana 6 Valls Anglés, Cláudia 6 van der Hoeven, Joris 6 Wang, Dongming 5 Bourne, Martin 5 Ferčec, Brigita 5 Fernandes, Wilker 5 Gutnik, Sergey A. 5 Han, Maoan 5 Hauenstein, Jonathan D. 5 Labahn, George 5 Lazard, Daniel 5 Levandovskyy, Viktor 5 Nie, Jiawang 5 Oliveira, Regilene D. S. 5 Perret, Ludovic 5 Sarychev, Vasily A. 5 Swanson, Irena 5 Szántó, Ágnes 5 Trager, Barry M. 5 Yokoyama, Kazuhiro 5 Zhang, Weinian 4 Berthomieu, Jérémy 4 Borges-Quintana, Mijail 4 Borges Trenard, Miguel Ángel 4 Dahan, Xavier 4 Gerdt, Vladimir Petrovich 4 Helmer, Martin 4 Henrion, Didier 4 Marinari, Maria Grazia 4 Montes, Antonio 4 Mou, Chenqi 4 Noro, Masayuki 4 Pérez-Díaz, Sonia 4 Pfister, Gerhard 4 Su, Yi 4 Yu, Zhiheng 3 Albrecht, Martin R. 3 Alcazar, Juan Gerardo 3 Aschenbrenner, Matthias 3 Blinkov, Yuri A. 3 Cheng, Jinsan 3 Corless, Robert Malcolm 3 De Moor, Bart L. R. 3 Díaz-Toca, Gema María 3 Dibitetto, Giuseppe 3 Dukarić, Maša 3 Dukkipati, Ambedkar 3 Eder, Christian 3 El Kahoui, M’hammed 3 Farouki, Rida T. 3 Galbraith, Steven D. 3 Galligo, André 3 Gao, Xiaoshan 3 Giesbrecht, Mark W. 3 Gomez-Perez, Domingo 3 Gonzalez-Vega, Laureano 3 Grassi, Lorenzo 3 Hasan, Madina 3 Hass, Joel 3 Hidalgo, Rubén Antonio 3 Hubert, Evelyne 3 Karcanias, Nicos 3 Kreuzer, Martin 3 Lao, Xin 3 Llibre, Jaume 3 Lundqvist, Samuel 3 Markovsky, Ivan 3 Márquez-Corbella, Irene 3 Mitrouli, Marilena 3 Moreno Maza, Marc 3 Naldi, Simone 3 Parenti, Paola 3 Pellikaan, Ruud 3 Petit, Christophe 3 Poteaux, Adrien 3 Rueda, Sonia L. 3 Sala, Massimiliano 3 Sasaki, Tateaki 3 Steidel, Stefan 3 Tajima, Shinichi 3 Telen, Simon 3 Terui, Akira 3 Van Barel, Marc ...and 623 more Authors all top 5 Cited in 122 Serials 131 Journal of Symbolic Computation 24 Applicable Algebra in Engineering, Communication and Computing 22 Theoretical Computer Science 16 Mathematics of Computation 16 Mathematics in Computer Science 14 Journal of Computational and Applied Mathematics 14 Journal of Pure and Applied Algebra 10 Programming and Computer Software 9 Journal of Complexity 9 Linear Algebra and its Applications 8 Applied Mathematics and Computation 8 Journal of Algebra 8 Computer Aided Geometric Design 7 Designs, Codes and Cryptography 6 Computers & Mathematics with Applications 6 Journal of Algebra and its Applications 5 Journal of Mathematical Analysis and Applications 5 Advances in Applied Mathematics 5 Discrete & Computational Geometry 5 Numerical Algorithms 5 Journal of High Energy Physics 5 Advances in Mathematics of Communications 4 Communications in Algebra 4 Qualitative Theory of Dynamical Systems 4 Foundations of Computational Mathematics 3 Journal of Differential Equations 3 Mathematics and Computers in Simulation 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Transactions of the American Mathematical Society 3 Applied Numerical Mathematics 3 SIAM Journal on Matrix Analysis and Applications 3 International Journal of Algebra and Computation 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Experimental Mathematics 3 Finite Fields and their Applications 3 Science China. Mathematics 2 Automatica 2 Duke Mathematical Journal 2 Physica D 2 Acta Mathematicae Applicatae Sinica. English Series 2 Algorithmica 2 Revista Matemática Iberoamericana 2 Journal of Cryptology 2 Japan Journal of Industrial and Applied Mathematics 2 Computational Geometry 2 SIAM Journal on Optimization 2 Computational Complexity 2 Computational Optimization and Applications 2 Multibody System Dynamics 2 Nonlinear Dynamics 2 LMS Journal of Computation and Mathematics 2 Journal of Systems Science and Complexity 2 Central European Journal of Mathematics 2 Journal of Mathematical Cryptology 1 International Journal of Modern Physics A 1 Discrete Applied Mathematics 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Problems of Information Transmission 1 Fortschritte der Physik 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annales de l’Institut Fourier 1 Annals of the Institute of Statistical Mathematics 1 BIT 1 Bulletin of the London Mathematical Society 1 Calcolo 1 Computing 1 Geometriae Dedicata 1 Inventiones Mathematicae 1 Journal of Approximation Theory 1 Journal of Soviet Mathematics 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Numerische Mathematik 1 Pacific Journal of Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 SIAM Journal on Numerical Analysis 1 Cryptologia 1 Combinatorica 1 Acta Applicandae Mathematicae 1 Information and Computation 1 Applied Mathematics Letters 1 Journal of the American Mathematical Society 1 Mathematical and Computer Modelling 1 MCSS. Mathematics of Control, Signals, and Systems 1 Science in China. Series A 1 Mathematical Programming. Series A. Series B 1 Journal of Dynamics and Differential Equations 1 Vestnik St. Petersburg University. Mathematics 1 Cybernetics and Systems Analysis 1 SIAM Journal on Scientific Computing 1 Journal of Algebraic Geometry 1 Journal of Mathematical Sciences (New York) 1 The Electronic Journal of Combinatorics 1 Advances in Computational Mathematics 1 Reliable Computing 1 Discrete and Continuous Dynamical Systems 1 Transformation Groups ...and 22 more Serials all top 5 Cited in 47 Fields 260 Commutative algebra (13-XX) 221 Computer science (68-XX) 134 Algebraic geometry (14-XX) 117 Numerical analysis (65-XX) 62 Field theory and polynomials (12-XX) 52 Information and communication theory, circuits (94-XX) 49 Number theory (11-XX) 49 Ordinary differential equations (34-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 21 Dynamical systems and ergodic theory (37-XX) 18 Operations research, mathematical programming (90-XX) 12 Functions of a complex variable (30-XX) 12 Quantum theory (81-XX) 11 Associative rings and algebras (16-XX) 9 Real functions (26-XX) 9 Several complex variables and analytic spaces (32-XX) 8 Mechanics of particles and systems (70-XX) 7 Combinatorics (05-XX) 7 Partial differential equations (35-XX) 7 Approximations and expansions (41-XX) 6 Group theory and generalizations (20-XX) 6 Special functions (33-XX) 6 Biology and other natural sciences (92-XX) 6 Systems theory; control (93-XX) 5 Difference and functional equations (39-XX) 5 Convex and discrete geometry (52-XX) 4 Mathematical logic and foundations (03-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Geometry (51-XX) 3 Manifolds and cell complexes (57-XX) 3 Statistics (62-XX) 3 Relativity and gravitational theory (83-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 \(K\)-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Citations by Year